-Schemes and Zariski-Riemann Spaces
Satoshi Takagi
Osaka City University, Japan
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Abstract
In this paper, we will investigate further properties of -schemes introduced in [Tak]. The category of -schemes possesses many properties of the category of coherent schemes, and in addition, it is co-complete and complete. There is the universal compactification, namely, the Zariski–Riemann space in the category of -schemes. We compare it with the classical Zariski–Riemann space, and characterize the latter by a left adjoint.
Cite this article
Satoshi Takagi, -Schemes and Zariski-Riemann Spaces. Rend. Sem. Mat. Univ. Padova 127 (2012), pp. 121–177
DOI 10.4171/RSMUP/127-8